What is the Greatest Common Factor of 34109 and 34126?

Greatest common factor (GCF) of 34109 and 34126 is 1.

GCF(34109,34126) = 1

We will now calculate the prime factors of 34109 and 34126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34109 and 34126.

How to find the GCF of 34109 and 34126?

We will first find the prime factorization of 34109 and 34126. After we will calculate the factors of 34109 and 34126 and find the biggest common factor number .

Step-1: Prime Factorization of 34109

Prime factors of 34109 are 23, 1483. Prime factorization of 34109 in exponential form is:

34109 = 23¹ × 1483¹

Step-2: Prime Factorization of 34126

Prime factors of 34126 are 2, 113, 151. Prime factorization of 34126 in exponential form is:

34126 = 2¹ × 113¹ × 151¹

Step-3: Factors of 34109

List of positive integer factors of 34109 that divides 34109 without a remainder.

1, 23, 1483

Step-4: Factors of 34126

List of positive integer factors of 34126 that divides 34109 without a remainder.

1, 2, 113, 151, 226, 302, 17063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34109 and 34126. The biggest common factor number is the GCF number.
So the greatest common factor 34109 and 34126 is 1.

Also check out the Least Common Multiple of 34109 and 34126